Justice Obaidul Hassan-led International Crimes Tribunal issued the warrants of arrest after considering the charges levelled against former al-Badr leaders Ashrafuzzaman Khan and Chowdhury Mueen-Uddin by the prosecution.
The tribunal has sought a report from authorities by May 12 as to whether the two have been arrested or not, Bdnews24 reported.
Prosecutor Mokhlesur Rahman Badal brought the charges on April 28 after Tribunal prosecutor Saidur Rahman filed his probe report on April 25.
The charges said that the al Badr was "put in charge" to kill the intellectuals by the Pakistan military, that Khan was the 'chief executor' with Chowdhury 'operation in-charge'.
Both were said to be active member of Islami Chhatra Sangha - the student wing of fundamentalist Jamaat-e-Islami in 1971. The Jamaat opposed Bangladesh's independence and sided with the Pakistani war effort in 1971.